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How to estimate costs

It's much easier to add whole pounds in our head instead of adding pounds and pence.

We can use our knowledge of rounding numbers to help us estimate costs.

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Example 1

Cake

Joe orders a slice of cake costing 拢3.80.

What is 拢3.80 rounded to the nearest pound?

We're going to use a number line to see if 拢3.80 should be rounded up or rounded down.

Cake
Number line showing  拢3, 拢3.50 and 拢4.

This number line has been labelled with the nearest pounds on either end and each mark on the number line represents 10p.

Number line showing  拢3, 拢3.50 and 拢4.

To round 拢3.80 to the nearest pound we place it on a number line.

Whichever whole number it is closer to on the number line is the number we round it to.

Number line showing 拢3, 拢3.50, 拢3.80 and 拢4. 拢3.80 is physically closer to 拢4 on the number line so 拢3.80 rounded to the nearest pound is 拢4.
Number line 拢3, 拢3.50, 拢3.80 and 拢4 with arrows showing when to round up and down.
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Top tip

Top tip!

You could also look at the tenths column to decide if you should round up or round down.

  • If the number in the tenths column is 5 or bigger then you round up.
  • If the number in the tenths column is 4 or less then you round down.

There are 8 tenths in 拢3.80 so we round up. If Joe's cake had cost 拢2.49 or less we would round down.

Top tip!
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Example 2

Lunchbox

Knowing how to estimate costs is useful when we are shopping and need to check if we have enough money.

Joe is shopping for food for his packed lunch and this is the cost of items in his local supermarket.

ItemCost
Cheese拢3.70
Melon拢2.25
Strawberries拢2.75
Crisps拢4.55
Eggs拢1.95
Lunchbox

What is the cost of the cheese and the cake to the nearest pound?

For both of these items we round up because they both have tenths above 5.

  • Cheese = 拢4
  • Eggs = 拢2

Now we鈥檝e rounded the cost of the cheese and eggs to the nearest pound, what is the approximate total cost of the cheese and eggs?

4 +2 = 拢6

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Calculating change

Question

Estimating costs can also help us work out how much change we'll receive.

Joe wants to buy strawberries, crisps and melon.

Approximately how much change will he receive if he pays with 拢20?

  • Round the items to the nearest pound
  • Add the approximate cost (the rounded numbers) of all of the items together
  • Subtract this from 20

Is your answer 拢10?

Question
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Activities

Quiz

Practise rounding to the nearest pound.

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NEW! Play Guardians: Defenders of Mathematica - the winter update
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